Answer:
x = -11
m<B = -43
m<C = -22
Step-by-step explanation:
To solve for <em>x</em>, solve (3x-10) + (2x) + 65 to get 5x+55. Simplify to 5x = -55. This can simplify further to x = -11. Insert -11 as x into the angles.
I hope this is correct and helps!
Answer:
The value of given expression i.e Ф is 90° and - 30°
Step-by-step explanation:
Given as :
4 cos²Ф + 2 sinФ = 2
∵ sin²Ф + cos²Ф = 1 , so , cos²Ф = 1 - sin²Ф
Or, 4 ( 1 - sin²Ф ) + 2 sinФ = 2
Or, 4 - 4 sin²Ф + 2 sinФ = 2
or, 4 sin²Ф - 2 sinФ - 4 + 2 = 0
or, 4 sin²Ф - 2 sinФ - 2 = 0
or, 2 sin²Ф - sinФ - 1 = 0
or, 2 sin²Ф - 2 sinФ + sinФ - 1 = 0
Or, 2 sinФ ( sinФ - 1 ) + 1 ( sinФ - 1 ) = 0
∴ ( sinФ - 1 ) ( 2 sinФ + 1 ) = 0
i.e ( sinФ - 1 ) = 0 And ( 2 sinФ + 1 ) = 0
since ( sinФ - 1 ) = 0
So, sinФ = 1
Or, Ф =
= 90°
And ( 2 sinФ + 1 ) = 0
Or, 2 sinФ = - 1
Or, sinФ = - 
Or, Ф =
= - 30°
Hence the value of given expression i.e Ф is 90° and - 30° Answer
1.) ¹²/₉ = ⁴/₃
Simplify the fraction so it’s easier to work with.
2.) ⁴/₃ = ⁸/x
Make ⁴/₃ equal to ⁸/x because since you want to find the new width, you need to make it equal to a new fraction.
3.) 4x = 24
Cross multiply.
4.) x = 6
Divide each side by 4.
Answer:
I don't know if i am right but i think it is number 7 because it like goes in order
Step-by-step explanation:
i am so unsure so i think it is 7 i don't know for sure
The answer is C. 3(y + z)
Proof:
y + y + y + 3z
Add same terms:
3y + 3z
Factor out 3:
3(y + z)